Topological Properties on the Wide and Fault Diameters of Exchanged Hypercubes

Tsung-Han Tsai, Y-Chuang Chen, Jiann-Mean Tan

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

The n-dimensional hypercube is one of the most popular topological structure for interconnection networks in parallel computing and communication systems. The exchanged hypercube EH(s, t), a variant of the hypercube, retains several valuable and desirable properties of the hypercube such as a small diameter, bipancyclicity, and super connectivity. In this paper, we construct s + 1 (or t + 1) internally vertex-disjoint paths between any two vertices for parallel routes in the exchanged hypercube EH(s,t) for 3 <= s <= t. We also show that both the (s + 1)-wide diameter and s-fault diameter of the exchanged hypercube EH(s,t) are s + t + 3 for 3 <= s <= t.
Original languageEnglish
Pages (from-to)3317-3327
Number of pages11
JournalIEEE Transactions on Parallel and Distributed Systems
Volume25
Issue number12
DOIs
StatePublished - Dec 2014

Keywords

  • Hypercube; exchanged hypercube; interconnection network; internally vertex-disjoint paths; wide diameter; fault diameter

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